I discovered that certain primes have an elegant property. For convenience, call this type of prime Q. I think I can best explain what I mean by the following...
w_sindelar@...
Dec 2, 2007 3:55 pm
19154
... positional notation is 0, then the succeeding prime is 2 and the preceding prime is 0. If the term in the units position in the positional notation is 1,...
w_sindelar@...
Dec 2, 2007 9:07 pm
19156
Suppose that z is a composite odd integer for which we wish to know factors z = x y. Set x = 2^0 + 2^c2 + 2^c3 + . . . + 2^cm Notice that the subscripts...
Very, very unlikely to be useful. This approach has been made many times in the last few centuries (entirely analogous equations can be set up in any radix,...
http://www.mathreference.com/num,inf.html impressed me with this concise proof that there are Infinitely Many Primes Suppose there is a finite list of primes. ...
... Good old Euclid has impressed many people. This is one of the most famous proofs in the history of mathematics. I have probably seen it over 100 times. I'm...
Who knows a good approximate formula for the number of prime powers up to x (without simple prime numbers): N = sum(1)(p^n <= x), p prime, n>1 ? Suggestion:...
Here is a simple theorem related to twin primes. I wonder how many times it's been replicated. If the positive integer d cannot be equal to abs( [ (3* m + 1)...
1. number of prime powers Posted by: "Werner D. Sand" Theo.3.1415@... theo2357 Date: Tue Dec 18, 2007 4:00 pm ((PST)) Who knows a good approximate formula...
I offer a $50 prize to the first person who can submit a verifiable counterexample or proof by New Year's day for the following primality conjecture: ...
... Wasn't much of a challenge. Is it a homework problem? The first counterexample is at x=5 (which we can all agree is prime.) Here, A=551 B=271 c=245 ...
I offer a $51 prize to the first person who can submit a verifiable counterexample by New Year's day either for the following conjectures. (x,A,B,c,k,f :...
I felt that I needed to clarify another point in the second question. So here I will post the restated CONTEST++ in its entirety: I offer a $51 prize to the...
You have to read , Alan. (Furious activity is not substitue from carefully reading). The prime test is on A, not x . (I checked Aldrich conjecture for large...
I believe that it is possible to use the first conjecture from CONTEST++ as a starting point for a new factoring method, and that even if it is found to be not...
Who has worked on developing a sieve algorithm to find primes for which all the integers in a pre-specified set are modulus square residues? To find for what...
Let x1, x2, . . ., xm, be a list of positive integers in increasing order. The following algorithm is proposed for testing if any of the x1,x2,. . . xm are...
Here goes a nice problem... IT would be nice if someone can give me links/references where I can find more details about this problem. Given a prime P its easy...
Happy new year to all ... Warning: p must be an odd prime! ... It appears as a simple induction: Let S(n) denote 1^n+ 2^n + ... + (p-1)^n Recalling the...
Before asking my question let me specify my credentials: high school maths. (so please spare me if the question is too easy/too absurd) Q. What is the...
... Thank you, Paul for your quick verification! I am very happy to congrat the prover and his/her collaborators for this success. I am now very curious to...
Hello prime fans, BTW, I look for a 13 tuplet. Today I have luck and found it :-) The lucky bonus was: 14th condition also true. The numbers have 46 digits and...
Not much action on two of the conjectures, and time grows short, so I will do the obvious and increase the purse. Maybe even DB himself will swoop out of the...
... Big congratulations! That is really a huge 14-tuplet. The lucky 14th prime means that the new 13-tuplet record is 2 larger: 381955327397348*80# + 18393209...
Happy new year to all ... I provide counterexamples to the contrapositive: If A is composite then there exists a k in the interval that satisfies the test. The...
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